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Finding the Third Proportional to 255,719 and 391,365

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Solution

The third proportional to 255,719 and 391,365 is: 598,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,719 : 391,365 = 391,365 : x
  2. Step 2: Convert to fraction form
    255,719/391,365 = 391,365/x
  3. Step 3: Cross multiply
    255,719x = 391,365 × 391,365
  4. Step 4: Simplify right side
    255,719x = 153,166,563,225
  5. Step 5: Solve for x
    x = 153,166,563,225/255,719
  6. Step 6: Final answer
    x = 598,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.